x=2x^2-4x+9

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Solution for x=2x^2-4x+9 equation: 


Simplifying
x = 2x2 + -4x + 9

Reorder the terms:
x = 9 + -4x + 2x2

Solving
x = 9 + -4x + 2x2

Solving for variable 'x'.

Reorder the terms:
-9 + x + 4x + -2x2 = 9 + -4x + 2x2 + -9 + 4x + -2x2

Combine like terms: x + 4x = 5x
-9 + 5x + -2x2 = 9 + -4x + 2x2 + -9 + 4x + -2x2

Reorder the terms:
-9 + 5x + -2x2 = 9 + -9 + -4x + 4x + 2x2 + -2x2

Combine like terms: 9 + -9 = 0
-9 + 5x + -2x2 = 0 + -4x + 4x + 2x2 + -2x2
-9 + 5x + -2x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
-9 + 5x + -2x2 = 0 + 2x2 + -2x2
-9 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-9 + 5x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
4.5 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -2.5x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -2.5x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2.5x + x2 = 0 + -4.5
-2.5x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-2.5x + x2 = -4.5

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -4.5 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -4.5 + 1.5625

Combine like terms: -4.5 + 1.5625 = -2.9375
1.5625 + -2.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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